Canonical Typicality of Energy Eigenstates of an Isolated Quantum System
Anatoly Dymarsky, Hong Liu
TL;DR
This paper explores the relationship between Canonical Typicality and Eigenstate Thermalization Hypothesis in quantum systems, proposing a new formulation of ETH and supporting it with numerical evidence.
Contribution
It introduces a formulation of ETH based on the reduced density matrix and provides numerical validation for this new approach.
Findings
Proposed a new formulation of ETH in terms of the reduced density matrix
Provided strong numerical evidence supporting the formulation
Clarified the relationship between CT and ETH in quantum statistical physics
Abstract
Currently there are two main approaches to describe how quantum statistical physics emerges from an isolated quantum many-body system in a pure state: Canonical Typicality (CT) and Eigenstate Thermalization Hypothesis (ETH). These two approaches has different but overlapping areas of validity, phenomenology and set of physical outcomes. In this paper we discuss the relation between CT and ETH and propose a formulation of ETH in terms of the reduced density matrix. We provide strong numerical evidences for the proposal. This article has been withdrawn as it is superseded by arXiv:1611.08764
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Taxonomy
TopicsQuantum many-body systems · Quantum and electron transport phenomena · Advanced Thermodynamics and Statistical Mechanics